Question

after how many decimal places will the rational number 1251/1250 terminate

Answer 1

Solution :-

1251/1250
Multiplying the both numerator and denominator by 8 to make the denominator 10000, we get.

= (1251*8)/(1250*8)
= 10008/10000
= 1.0008

After 4 decimal places, the rational number 1251/1250 will terminate.

Answer.

Answer 2

Do the division

1250) 1251(1.0008
         -1250
---------------------
                 10
                 -0
-----------------------
                 10000
                -10000
------------------------
                       0
------------------------
After four decimal places, 1250 divides 1251 leaving zero as remainder.